Details

Time bar (total: 26.1s)

sample202.0ms

Algorithm
intervals
Results
90.0ms784×body80nan
17.0ms37×body640valid
14.0ms173×body80valid
13.0ms14×body1280valid
6.0ms21×body320valid
2.0ms14×body160valid

simplify763.0ms

Counts
1 → 1
Iterations
IterNodes
done5001
8769
7237
6112
577
460
352
238
122
012

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize29.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (log y) x (fma (log (- 1.0 y)) z (- t)))
6.8b
(log (- 1.0 y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt log-prod *-un-lft-identity
3×pow1 add-exp-log add-cube-cbrt
2×expm1-log1p-u log-div add-cbrt-cube log1p-expm1-u add-log-exp
1×flip3-- rem-log-exp log-pow fma-udef flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 28
Calls
2 calls:
0.0ms
(fma (log y) x (fma (log (- 1.0 y)) z (- t)))
9.0ms
(log (- 1.0 y))

series257.0ms

Counts
2 → 6
Calls
2 calls:
182.0ms
(fma (log y) x (fma (log (- 1.0 y)) z (- t)))
75.0ms
(log (- 1.0 y))

simplify1.4s

Counts
34 → 34
Iterations
IterNodes
done5001
32481
2643
1214
0100

prune214.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (log y) x (fma (fma -1/2 (* (/ y (pow 1.0 2)) y) (fma y (- 1.0) (log 1.0))) z (- t)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (log y) x (fma (fma -1/2 (* (/ y (pow 1.0 2)) y) (fma y (- 1.0) (log 1.0))) z (- t)))

series225.0ms

Counts
1 → 3
Calls
1 calls:
225.0ms
(fma (log y) x (fma (fma -1/2 (* (/ y (pow 1.0 2)) y) (fma y (- 1.0) (log 1.0))) z (- t)))

simplify622.0ms

Counts
13 → 13
Iterations
IterNodes
done5001
3973
2239
180
041

prune147.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize57.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma x (log y) (fma (fma y (fma -1/2 (/ y (pow 1.0 2)) (- 1.0)) (log 1.0)) z (- t)))) (cbrt (fma x (log y) (fma (fma y (fma -1/2 (/ y (pow 1.0 2)) (- 1.0)) (log 1.0)) z (- t)))))
0.6b
(cbrt (fma x (log y) (fma (fma y (fma -1/2 (/ y (pow 1.0 2)) (- 1.0)) (log 1.0)) z (- t))))
0.6b
(cbrt (fma x (log y) (fma (fma y (fma -1/2 (/ y (pow 1.0 2)) (- 1.0)) (log 1.0)) z (- t))))
0.6b
(cbrt (fma x (log y) (fma (fma y (fma -1/2 (/ y (pow 1.0 2)) (- 1.0)) (log 1.0)) z (- t))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
14.0ms
(* (cbrt (fma x (log y) (fma (fma y (fma -1/2 (/ y (pow 1.0 2)) (- 1.0)) (log 1.0)) z (- t)))) (cbrt (fma x (log y) (fma (fma y (fma -1/2 (/ y (pow 1.0 2)) (- 1.0)) (log 1.0)) z (- t)))))
1.0ms
(cbrt (fma x (log y) (fma (fma y (fma -1/2 (/ y (pow 1.0 2)) (- 1.0)) (log 1.0)) z (- t))))
1.0ms
(cbrt (fma x (log y) (fma (fma y (fma -1/2 (/ y (pow 1.0 2)) (- 1.0)) (log 1.0)) z (- t))))
1.0ms
(cbrt (fma x (log y) (fma (fma y (fma -1/2 (/ y (pow 1.0 2)) (- 1.0)) (log 1.0)) z (- t))))

series5.8s

Counts
4 → 12
Calls
4 calls:
1.5s
(* (cbrt (fma x (log y) (fma (fma y (fma -1/2 (/ y (pow 1.0 2)) (- 1.0)) (log 1.0)) z (- t)))) (cbrt (fma x (log y) (fma (fma y (fma -1/2 (/ y (pow 1.0 2)) (- 1.0)) (log 1.0)) z (- t)))))
1.4s
(cbrt (fma x (log y) (fma (fma y (fma -1/2 (/ y (pow 1.0 2)) (- 1.0)) (log 1.0)) z (- t))))
1.4s
(cbrt (fma x (log y) (fma (fma y (fma -1/2 (/ y (pow 1.0 2)) (- 1.0)) (log 1.0)) z (- t))))
1.6s
(cbrt (fma x (log y) (fma (fma y (fma -1/2 (/ y (pow 1.0 2)) (- 1.0)) (log 1.0)) z (- t))))

simplify800.0ms

Counts
93 → 93
Iterations
IterNodes
done5000
21058
1297
0126

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize122.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma x (log y) (fma z (fma y (fma (/ (/ y 1.0) 1.0) -1/2 (- 1.0)) (log 1.0)) (- t))))
0.6b
(cbrt (fma x (log y) (fma z (fma y (fma (/ (/ y 1.0) 1.0) -1/2 (- 1.0)) (log 1.0)) (- t))))
0.6b
(cbrt (fma x (log y) (fma (fma y (fma -1/2 (/ y (pow 1.0 2)) (- 1.0)) (log 1.0)) z (- t))))
0.6b
(cbrt (fma x (log y) (fma (fma y (fma -1/2 (/ y (pow 1.0 2)) (- 1.0)) (log 1.0)) z (- t))))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (fma x (log y) (fma z (fma y (fma (/ (/ y 1.0) 1.0) -1/2 (- 1.0)) (log 1.0)) (- t))))
1.0ms
(cbrt (fma x (log y) (fma z (fma y (fma (/ (/ y 1.0) 1.0) -1/2 (- 1.0)) (log 1.0)) (- t))))
1.0ms
(cbrt (fma x (log y) (fma (fma y (fma -1/2 (/ y (pow 1.0 2)) (- 1.0)) (log 1.0)) z (- t))))
1.0ms
(cbrt (fma x (log y) (fma (fma y (fma -1/2 (/ y (pow 1.0 2)) (- 1.0)) (log 1.0)) z (- t))))

series5.8s

Counts
4 → 12
Calls
4 calls:
1.5s
(cbrt (fma x (log y) (fma z (fma y (fma (/ (/ y 1.0) 1.0) -1/2 (- 1.0)) (log 1.0)) (- t))))
1.4s
(cbrt (fma x (log y) (fma z (fma y (fma (/ (/ y 1.0) 1.0) -1/2 (- 1.0)) (log 1.0)) (- t))))
1.5s
(cbrt (fma x (log y) (fma (fma y (fma -1/2 (/ y (pow 1.0 2)) (- 1.0)) (log 1.0)) z (- t))))
1.4s
(cbrt (fma x (log y) (fma (fma y (fma -1/2 (/ y (pow 1.0 2)) (- 1.0)) (log 1.0)) z (- t))))

simplify1.1s

Counts
64 → 64
Iterations
IterNodes
done5000
31271
2417
1173
091

prune1.1s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.1b

regimes698.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done19
119
018

end0.0ms

sample5.5s

Algorithm
intervals
Results
2.2s23912×body80nan
596.0ms762×body320valid
559.0ms5501×body80valid
425.0ms407×body1280valid
388.0ms875×body640valid
82.0ms494×body160valid